10,784,656

2⁴ × 821²

10,784,656 factors as 2^4 × 821^2. Its 15 positive divisors give a proper-divisor sum of 10,136,097, so this integer is deficient. The Collatz stopping time is 189 steps.

Prime Factor Structure

Factorization String 2^4 × 821^2

Distinct Prime Factors 2

Square Status Yes (√10784656 = 3284)

Abundance Measure Deficient

Analytical Properties

Total Divisors 15

Divisor Sum (σ) 20,920,753

Proper Divisor Sum 10,136,097

Digit Sum / Digital Root 37 (Root: 1)

Adjacent Primes #10784651 ← → #10784671

Radix Representation

Decimal	10784656
Binary	101001001000111110010000 (24 bits)
Octal	0o51107620
Hexadecimal	0xA48F90

Divisor Catalog (15)

1 2 4 8 16 821 1,642 3,284 6,568 13,136 674,041 1,348,082 2,696,164 5,392,328 10,784,656

Collatz Trajectory (189 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

10,784,656 5,392,328 2,696,164 1,348,082 674,041 2,022,124 1,011,062 505,531 1,516,594 758,297 2,274,892 1,137,446 568,723 1,706,170 853,085 2,559,256 1,279,628 639,814 319,907 959,722 479,861 1,439,584 719,792 359,896 179,948 89,974 44,987 134,962 67,481 202,444 101,222 50,611 151,834 75,917 227,752 113,876 56,938 28,469 85,408 42,704 21,352 10,676 5,338 2,669 8,008 4,004 2,002 1,001 3,004 1,502 751 2,254 1,127 3,382 1,691 5,074 2,537 7,612 3,806 1,903

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